This paper deals with a special Hermite-Fejer interpolation process based at the zeros of generalized Freud polynomials which are orthogonal with respect to the weight w(x)=|x|^alpha exp(-|x|^eta), alpha>-1, eta>1. We prove its uniform convergence for functions belonging to a suitable space of functions equipped with a weighted uniform norm.
On the Hermite-Fejer Interpolation Based at the Zeros of Generalized Freud Polynomials
De Bonis, Maria Carmela;Mastroianni, Giuseppe
2018-01-01
Abstract
This paper deals with a special Hermite-Fejer interpolation process based at the zeros of generalized Freud polynomials which are orthogonal with respect to the weight w(x)=|x|^alpha exp(-|x|^eta), alpha>-1, eta>1. We prove its uniform convergence for functions belonging to a suitable space of functions equipped with a weighted uniform norm.File in questo prodotto:
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